On hidden symmetries of extremal Kerr-NUT-AdS-dS black holes
arXiv:1009.4388 · doi:10.1016/j.geomphys.2011.01.006
Abstract
It is well known that the Kerr-NUT-AdS-dS black hole admits two linearly independent Killing vectors and possesses a hidden symmetry generated by a rank-2 Killing tensor. The near-horizon geometry of an extremal Kerr-NUT-AdS-dS black hole admits four linearly independent Killing vectors, and we show how the hidden symmetry of the black hole itself is carried over by means of a modified Killing-Yano potential which is given explicitly. We demonstrate that the corresponding Killing tensor of the near-horizon geometry is reducible as it can be expressed in terms of the Casimir operators formed by the four Killing vectors.
arXiv comment7 pages
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- New Near Horizon Limit in Kerr/CFT
- General Hidden Conformal Symmetry of 4D Kerr-Newman and 5D Kerr Black Holes
- Particle Dynamics in Weakly Charged Extreme Kerr Throat
- NUT-like and near-horizon limits of Kerr-NUT-(A)dS spacetimes
- Reducibility of Killing tensors in d>4 NHEK geometry
- No more CKY two-forms in the NHEK
- Hidden symmetries of near-horizon extremal Kerr-AdS-NUT geometries
- Investigation of hidden symmetry in black hole with Heun equation